We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Nobody downloaded yet

One-way analysis of variance - Assignment Example

Comments (0) Cite this document
One-Way Analysis of Variance Name: Course: Professor: Institution: City and State: Date: One-way analysis of variance Introduction There are numerous forms of variance analysis including one-way Analysis of Variance (ANOVA), and two-way ANOVA among many others…
Download full paperFile format: .doc, available for editing
Polish This Essay94.1% of users find it useful
One-way analysis of variance
Read TextPreview

Extract of sample
"One-way analysis of variance"

Download file to see previous pages Basically, the basis of one-way ANOVA is to partition the sum of squares within and between classes. This method enables effective comparison of different classes simultaneously assuming the data is normally distributed. One way ANOVA is determined in three critical steps starting with obtaining squares for all classes of data. The degree of freedom, which is the total number of independent data that is considered to estimate a parameter, is also determined. Estimating degrees of freedom later on becomes effective in analysing null hypothesis. According to null hypothesis, the mean of classes under consideration is taken to be the same meaning that the variation within and between classes is not significantly different if not identical. This paper applies one-way ANOVA to analyze data for three categories of doctors. To analyse the variance, one-way ANOVA helps to establish the mean of individual groups, known as the treatment mean. Further, the grand mean, which is the mean for the entire data, is also computed. A scatter diagram (data on appendix) No. of years in NHS only (x-axis) Perform a one-way analysis of variance, recording all your interim calculations. Treatment mean for the three groups is: NHS only-11.25, private practice only-25.33 and both NHS and private practice-21.92. Grand mean= (11.25+25.33+21.92)/3 = 19.5 Estimate the treatment effects of the three groups. =11.25-19.5=-8.25 =25.33-19.5=5.83 =21.92-19.5=2.42 The researcher should then compute one-way ANOVA to determine whether the differences in effects are significant. To determine the variance, the following formula is used: One-way ANOVA, MS Total = MS Total/ (J-1) = (SS Within +SS between)/ (N-1) MS within estimates variability within a group, it is also known as SS residue or SS error. N is Degree of Freedom (D.F) calculated as; N-1, where N is the total number of observation within individual group. MS within= SS within/ D.F (N-1) On the other hand, MS between estimates variability between the groups, it is also known as SS explained since it shows variability explained by group membership. J is Degrees of Freedom (D.F) calculated as; J-1, where J is the total number of observations in all groups. MS between= SS between/ D.F (J-1) Ti=135, Tii=304, Tiii=263 (i) (?y) ^2 =702^2 = 13,689 N 36 (ii) ?Y^2= 12^2++27^2+1^2....+37^2= 19,578 (iii) ?Ti^2 = 135^2+ 304^2+ 263^2 = 1,518.75 +7,701.33+5,764.08 = 14,984.16 N 12 12 12 SS Within= 19,578-14,984.16 = 4,593.84 SS Between=14,984.16- 13,689 =1,295.16 SS Total= 19,578- 13,689= 5,889 Therefore: MS Total= SS Total/ (N-1) =5,889/36 =163.58 MS Between= SS Between/ (J-1) =1,295.16/2= 647.58 MS Within= SS Within/ (N-1) =4,593.84/ (36-3) =139.2 Source SS D.F Mean Square F Treatment SS Between= 1,295.16 J-1=2 SS Between/(J-1) =647.58 = MS Between MS Within = 4.7 Error SS Within= 4,593.84 N-J=33 SS Within/(N-1) =139.2 Total SS Total= 5,889 N-1=35 SS Total/(N-1) =168.26 Step1: Ho= ?= ?= ?, that is, treatments are equally effective Step2: An F statistic is appropriate measure, since the dependent variable is continuous and there are more than one group. Step 3: Since ? = 0.05 and D.F= 2, 33, accept Ho if F2, 33 < 19.4 Step4: The computed value of F-statistic is 4.7 Step 5: Accept H0. The treatments are equally effective. Explain what your results mean in a way that a non-statistician could understand. As mentioned above, one-way ANOVA seeks to compare two or more classes of data in order to determine if ...Download file to see next pagesRead More
Cite this document
  • APA
  • MLA
(“One-way analysis of variance Assignment Example | Topics and Well Written Essays - 1000 words”, n.d.)
Retrieved from https://studentshare.org/statistics/1483335-one-way-analysis-of-variance
(One-Way Analysis of Variance Assignment Example | Topics and Well Written Essays - 1000 Words)
“One-Way Analysis of Variance Assignment Example | Topics and Well Written Essays - 1000 Words”, n.d. https://studentshare.org/statistics/1483335-one-way-analysis-of-variance.
  • Cited: 0 times
Comments (0)
Click to create a comment or rate a document
Mean Variance Analysis - Portfolio Theory and Diversification
The theory encompasses the construction of a portfolio which can minimize the risk and at the same time maintains the required return for the investor (Markowitz, 1991). Construction of such a portfolio which has the aforementioned characteristics can be possible through diversification.
6 Pages(1500 words)Assignment
It is in most instances used for the performance of trade studies across multiple dimensions while taking into consideration the effects of all variables on the responses of interest. In the context of process analysis and improvement, multi-vary analysis helps in the viewing of multiple sources of progression variation, most of which are classified into families of correlated foundations and quantified to divulge the prevalent reasons.
8 Pages(2000 words)Assignment
Change Management - one best way
Top administration disagreed that the commencement of an educational change programme was determined by acknowledgment that the new alien candidates to the leisure industry were satisfactorily different from time-honoured contestants to entail instant gung ho response.
4 Pages(1000 words)Assignment
Analysis of Variance
However, this violation of normality could be due to the relatively small size of the data sets. Conclusion: The results do not sustain our earlier assertion that the mean tensile strength is equal at different levels of weight percent of cotton.
1 Pages(250 words)Assignment
Theory Analysis
For this assignment, you will complete this worksheet. Remember, the more detailed you are, the more feedback your faculty will be able to provide to ensure you are moving in the right direction. Therefore, complete each of the boxes
4 Pages(1000 words)Assignment
Statistical Analysis of Microtitre Lab Data
lysis on this proforma and submit the completed work on the Assignments page of Studynet BUT you must also print a copy of the completed proforma and bring it to the test session in Week 31. You will be given a series of FIVE Multiple Response Questions (MRQs) to answer as part
3 Pages(750 words)Assignment
Epidemly and biostat
It is yes and to some extent no. According to this percentage and still to consider the geographical lacation of where the study was taken, yes because an adequate
6 Pages(1500 words)Assignment
(a) What null hypotheses were tested for research questions 2 and 3 listed on page 54? Be sure to include the sample in the null hypotheses statements and to use appropriate
3 Pages(750 words)Assignment
Research Articles
In this example the t-test is performed to compare whether the working and non-working mothers have significant different average values. The mean of the working
2 Pages(500 words)Assignment
Participation Exercise #13
As a way of ensuring that all costs remain controlled, variance analysis needs considering when making decisions in management. The management may also realize that the materiality of the variance may affect
1 Pages(250 words)Assignment
Let us find you another Assignment on topic One-way analysis of variance for FREE!
Contact us:
Contact Us Now
FREE Mobile Apps:
  • About StudentShare
  • Testimonials
  • FAQ
  • Blog
  • Free Essays
  • New Essays
  • Essays
  • The Newest Essay Topics
  • Index samples by all dates
Join us:
Contact Us